Help me graph<br><br> y=3-|x-1|

What are the ordered pairs of the

9966 [12]

Start by writing the system down, I will use $y$ to represent $f(x)$

$y=x^2-5x+3\wedge y=-3$

Substitute the fact that $y=-3$ into the first equation to get,

$-3=x^2-5x+3$

Simplify into a quadratic form ( $ax^2+bx+c=0$ ),

$x^2-5x+6=0$

Now you can use Vieta's rule which states that any quadratic equation can be written in the following form,

$x^2+x(m+n)+mn=0$

which then must factor into

$(x+m)(x+n)=0$

And the solutions will be $m,n$ .

Clearly for small coefficients like ours $5,6$ , this is very easy to figure out. To get 5 and 6 we simply say that $m=3, n=2$ .

This fits the definition as $5=3+2$ and $6=2\cdot3$ .

So as mentioned, solutions will equal to $m=3, n=2$ but these are just x-values in the solution pairs of a form $(x,y)$ .

To get y-values we must substitute 3 for x in the original equation and then also 2 for x in the original equation. Luckily we already know that substituting either of the two numbers yields a zero.

So the solution pairs are $(2,0)$ and $(3,0)$ .

Hope this helps :)

5 0

3 years ago

American car makers produce 5,650,000cars each year. In a report, Ben wrote that Americans made 6,550,000 cars. What mistake did

wolverine [178]

UMMMMMMMMMMMMMMMMM. LETS SEE

6 0

3 years ago

Explain the difference between prime and composite numbers

Fed [463]

Prime only has two factors one and its self a composite number has more factor than one and its self
exsample: 12 - 1,2,3,4,6,12 = 12 is a composite number
7 - 1,7 =prime number

4 0

3 years ago

Solve. 6 Everyone at a park was either hiking or riding a bike. There were 24 more hikers than bike riders. If there were a tota

nydimaria [60]

b r = 178 + h;

b r + h = 676;

then, 178 + 2h = 676 => h = 498/2 = 249 => b r = 178 + 249 = 427

Answer:

676

Step-by-step explanation:

h=b+178=427

b=b=249

-------------

(b+178)+b=676

2b+178=676

2b=498

b=249

-------------

249+427=676

Kaneppeleqw and 2 more u

5 0

2 years ago

Please go through step by step so I can also learn the correct way. Will thank the person who goes step by step

juin [17]

Answer:

5.848 in

Step-by-step explanation:

Divide the piece of cardboard into nine equal squares of side z.

The centre square is the base of the cube.

When you cut out the corner squares and fold up the sides, you will have a cube with edge length z.

The cube must have a volume of 200 in³.

V = z³

200 = z³

$z = \sqrt[3]{200}$

$z = \sqrt[3]{8\times25}$

$z = 2\sqrt[3]{25}$

z = 2 × 2.924

z = 5.848 in

The edge length of the cube is 5.848 in.

8 0

3 years ago

Help me graph y=3-|x-1|